Optimal Convergence of the Discrepancy Principle for Polynomially and Exponentially Ill-Posed Operators under White Noise-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Optimal Convergence of the Discrepancy Principle for Polynomially and Exponentially Ill-Posed Operators under White Noise

Published:2021-12-21 Issue: Volume: Page:1-23
ISSN:0163-0563
Container-title:Numerical Functional Analysis and Optimization
language:en
Short-container-title:Numerical Functional Analysis and Optimization

Author:

Jahn Tim¹^ORCID

Affiliation:

1. Institute for Numerical Simulation and Hausdorff Center for Mathematics, University of Bonn

Funder

Deutsche Forschungsgemeinschaft

Publisher

Informa UK Limited

Subject

Control and Optimization,Computer Science Applications,Signal Processing,Analysis

Link

https://www.tandfonline.com/doi/pdf/10.1080/01630563.2021.2013881

Reference22 articles.

1. Regularization of Inverse Problems

2. Regularization of exponentially ill-posed problems

3. Convergence Rates of General Regularization Methods for Statistical Inverse Problems and Applications

4. Inverse Problems in Statistics

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Early stopping for L2-boosting in high-dimensional linear models;The Annals of Statistics;2024-04-01

2. Weighted discrepancy principle and optimal adaptivity in Poisson inverse problems;Latin American Journal of Probability and Mathematical Statistics;2024

3. Noise Level Free Regularization of General Linear Inverse Problems under Unconstrained White Noise;SIAM/ASA Journal on Uncertainty Quantification;2023-05-25

4. Regularizing linear inverse problems under unknown non-Gaussian white noise allowing repeated measurements;IMA Journal of Numerical Analysis;2022-01-21

5. A probabilistic oracle inequality and quantification of uncertainty of a modified discrepancy principle for statistical inverse problems;ETNA - Electronic Transactions on Numerical Analysis;2022

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号京ICP备18003416号-3